What is the Greatest Common Factor of 48789 and 48801?

Greatest common factor (GCF) of 48789 and 48801 is 3.

GCF(48789,48801) = 3

We will now calculate the prime factors of 48789 and 48801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48789 and 48801.

How to find the GCF of 48789 and 48801?

We will first find the prime factorization of 48789 and 48801. After we will calculate the factors of 48789 and 48801 and find the biggest common factor number .

Step-1: Prime Factorization of 48789

Prime factors of 48789 are 3, 13, 139. Prime factorization of 48789 in exponential form is:

48789 = 3³ × 13¹ × 139¹

Step-2: Prime Factorization of 48801

Prime factors of 48801 are 3, 16267. Prime factorization of 48801 in exponential form is:

48801 = 3¹ × 16267¹

Step-3: Factors of 48789

List of positive integer factors of 48789 that divides 48789 without a remainder.

1, 3, 9, 13, 27, 39, 117, 139, 351, 417, 1251, 1807, 3753, 5421, 16263

Step-4: Factors of 48801

List of positive integer factors of 48801 that divides 48789 without a remainder.

1, 3, 16267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48789 and 48801. The biggest common factor number is the GCF number.
So the greatest common factor 48789 and 48801 is 3.

Also check out the Least Common Multiple of 48789 and 48801